书目名称 | Non-Fourier Heat Conduction | 副标题 | From Phase-Lag Model | 编辑 | Alexander I. Zhmakin | 视频video | | 概述 | Provides a comprehensive and well-structured overview of non-Fourier heat conduction models.Looks at heat conduction in materials with memory and/or non-homogeneous inner structure.Appeals to research | 图书封面 |  | 描述 | .This book presents a broad and well-structured overview of various non-Fourier heat conduction models. The classical Fourier heat conduction model is valid for most macroscopic problems. However, it fails when the wave nature of the heat propagation becomes dominant and memory or non-local spatial effects become significant; e.g., during ultrafast heating, heat transfer at the nanoscale, in granular and porous materials, at extremely high values of the heat flux, or in heat transfer in biological tissues. The book looks at numerous non-Fourier heat conduction models that incorporate time non-locality for materials with memory, such as hereditary materials, including fractional hereditary materials, and/or spatial non-locality, i.e. materials with a non-homogeneous inner structure. Beginning with an introduction to classical transport theory, including phase-lag, phonon, and thermomass models, the book then looks at various aspects of relativistic and quantum transport, including approaches based on the Landauer formalism as well as the Green-Kubo theory of linear response. Featuring an appendix that provides an introduction to methods in fractional calculus, this book is a valuabl | 出版日期 | Book 2023 | 关键词 | Fourier Law; Fractional Calculus; Non-Local Models; Phase-Lag Models; Fractional Boltzmann Equation; Frac | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-25973-9 | isbn_softcover | 978-3-031-25975-3 | isbn_ebook | 978-3-031-25973-9 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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